Finding the Third Proportional to 11,418 and 12,894

Step by Step Solution

1. Step 1: Write the proportion equation
   11,418 : 12,894 = 12,894 : x
2. Step 2: Convert to fraction form
   11,418/12,894 = 12,894/x
3. Step 3: Cross multiply
   11,418x = 12,894 × 12,894
4. Step 4: Simplify right side
   11,418x = 166,255,236
5. Step 5: Solve for x
   x = 166,255,236/11,418
6. Step 6: Final answer
   x = 14,560.80